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On the embedding and compactification of q -complete manifolds

Ionuţ Chiose (2006)

Annales de l’institut Fourier

We characterize intrinsically two classes of manifolds that can be properly embedded into spaces of the form N N - q . The first theorem is a compactification theorem for pseudoconcave manifolds that can be realized as X ¯ ( X ¯ N - q ) where X ¯ N is a projective variety. The second theorem is an embedding theorem for holomorphically convex manifolds into 1 × N .

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